x^4+11x^2=0

Solution for x^4+11x^2=0 equation:

Simplifying
x4 + 11x2 = 0

Reorder the terms:
11x2 + x4 = 0

Solving
11x2 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(11 + x2) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(11 + x2)' equal to zero and attempt to solve:

Simplifying
11 + x2 = 0

Solving
11 + x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x2 = 0 + -11
x2 = 0 + -11

Combine like terms: 0 + -11 = -11
x2 = -11

Simplifying
x2 = -11

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}